English

Free boundary regularity for a problem with right hand side

Analysis of PDEs 2009-12-11 v1

Abstract

We consider a one-phase free boundary problem with variable coefficients and non-zero right hand side. We prove that flat free boundaries are C1,αC^{1,\alpha} using a different approach than the classical supconvolution method of Caffarelli. We use this result to obtain that Lipschitz free boundaries are C1,αC^{1,\alpha}.

Keywords

Cite

@article{arxiv.0912.2057,
  title  = {Free boundary regularity for a problem with right hand side},
  author = {Daniela De Silva},
  journal= {arXiv preprint arXiv:0912.2057},
  year   = {2009}
}
R2 v1 2026-06-21T14:22:19.845Z